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Mean Value Formulas and Unique Continuation on Groups of Heisenberg Type
Received:January 19, 2005
Revised:August 26, 2006
Key Words
:
group of Heisenberg type
fundamental solution
mean value formula
unique continuation.
Fund Project
:
the National Natural Science Foundation of China (10371099)
Author Name
Affiliation
HAN Jun-qiang
Department of Applied Mathematics
,
Northwestern Polytechnical University
,
Shaanxi
,
710072
,
China
Hits
:
2976
Download times
:
1219
Abstract
:
A fundamental solution of the Sub-Laplacian on groups of Heisenberg type is given. On this basis, the mean value formulas, Hardy type inequality, uncertainty principle and unique continuation are established.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2007.02.014
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